725362206660 has 576 divisors, whose sum is σ = 2852520652800. Its totient is φ = 148101488640.

The previous prime is 725362206641. The next prime is 725362206671. The reversal of 725362206660 is 66602263527.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24866644 + ... + 24895796.

It is an arithmetic number, because the mean of its divisors is an integer number (4952292800).

Almost surely, 2^725362206660 is an apocalyptic number.

725362206660 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725362206660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426260326400).

725362206660 is an abundant number, since it is smaller than the sum of its proper divisors (2127158446140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725362206660 is a wasteful number, since it uses less digits than its factorization.

725362206660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29233 (or 29214 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 725362206660 in words is "seven hundred twenty-five billion, three hundred sixty-two million, two hundred six thousand, six hundred sixty".